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Finding the Fourth Proportional to 8,206.73, 11,324.06 and 4,621.16

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Solution

The fourth proportional to 8,206.73, 11,324.06 and 4,621.16 is: 6,376.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.73 : 11,324.06 = 4,621.16 : x
  2. Step 2: Convert to fraction form
    8,206.73/11,324.06 = 4,621.16/x
  3. Step 3: Cross multiply
    8,206.73x = 11,324.06 × 4,621.16
  4. Step 4: Simplify right side
    8,206.73x = 52,330,293.11
  5. Step 5: Solve for x
    x = 52,330,293.11/8,206.73
  6. Step 6: Final answer
    x = 6,376.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.